Fast multipole accelerated solution of the oblique derivative boundary value problem

DOI10.1007/s13137-012-0038-1zbMath1252.31002OpenAlexW2167098108MaRDI QIDQ1761421

Martin Gutting

Publication date: 15 November 2012

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-012-0038-1

zbMATH Keywords

boundary value problemfast multipole methodharmonic splinesoblique derivatives

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Computational methods for problems pertaining to geophysics (86-08) Boundary value problems on manifolds (58J32) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• Multiscale potential theory. With applications to geoscience
• Rapid solution of integral equations of classical potential theory
• A fast adaptive multipole algorithm in three dimensions
• Minimal discrete energy on the sphere
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• A constructive approximation theorem for the oblique derivative problem in potential theory
• On spherical spline interpolation and approximation
• Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
• Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
• Theory of Reproducing Kernels
• A fast algorithm for particle simulations
• A spline interpolation method for solving boundary value problems of potential theory from discretely given data
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